Search a number
-
+
204052454106144 = 25371069284050033
BaseRepresentation
bin101110011001010110101010…
…000010101110010000100000
3222202111020001100222102212120
4232121112222002232100200
5203221143411222344034
62001552223041024240
760660206015006040
oct5631265202562040
9882436040872776
10204052454106144
115a021183785266
121aa76896025080
1389b20aa3a8337
143856297599720
15188cd150a1c49
hexb995aa0ae420

204052454106144 has 96 divisors (see below), whose sum is σ = 612730009342080. Its totient is φ = 58246163361792.

The previous prime is 204052454106139. The next prime is 204052454106157. The reversal of 204052454106144 is 441601454250402.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 204052454106096 and 204052454106105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141306649 + ... + 142743384.

It is an arithmetic number, because the mean of its divisors is an integer number (6382604263980).

Almost surely, 2204052454106144 is an apocalyptic number.

204052454106144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

204052454106144 is an abundant number, since it is smaller than the sum of its proper divisors (408677555235936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204052454106144 is a wasteful number, since it uses less digits than its factorization.

204052454106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284051122 (or 284051114 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 204052454106144 in words is "two hundred four trillion, fifty-two billion, four hundred fifty-four million, one hundred six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1069 2138 3207 4276 6414 7483 8552 12828 14966 17104 22449 25656 29932 34208 44898 51312 59864 89796 102624 119728 179592 239456 359184 718368 284050033 568100066 852150099 1136200132 1704300198 1988350231 2272400264 3408600396 3976700462 4544800528 5965050693 6817200792 7953400924 9089601056 11930101386 13634401584 15906801848 23860202772 27268803168 31813603696 47720405544 63627207392 95440811088 190881622176 303649485277 607298970554 910948455831 1214597941108 1821896911662 2125546396939 2429195882216 3643793823324 4251092793878 4858391764432 6376639190817 7287587646648 8502185587756 9716783528864 12753278381634 14575175293296 17004371175512 25506556763268 29150350586592 34008742351024 51013113526536 68017484702048 102026227053072 204052454106144